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Finding the Fourth Proportional to 11,352.08, 15,661.56 and 8,375

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Solution

The fourth proportional to 11,352.08, 15,661.56 and 8,375 is: 11,554.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,352.08 : 15,661.56 = 8,375 : x
  2. Step 2: Convert to fraction form
    11,352.08/15,661.56 = 8,375/x
  3. Step 3: Cross multiply
    11,352.08x = 15,661.56 × 8,375
  4. Step 4: Simplify right side
    11,352.08x = 131,165,565
  5. Step 5: Solve for x
    x = 131,165,565/11,352.08
  6. Step 6: Final answer
    x = 11,554.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.